几何记忆在时周期无旋流中的不可逆传输
流体动力学
2026-03-26 v1
摘要
不可逆传输通常归因于涡旋、非线性强迫或显式对称性破坏。我们展示，即使在严格时周期且局部无旋的流中，也可通过纯几何机制产生不可逆传输。通过在有限记忆时间内进行因果自传输来重构速度梯度，形变获得几何连接结构，其 holonomy 在一个强迫周期内产生有限的拉格朗日漂移。 resulting contribution admits a closed-form, parameter-free expression. A quantitative consistency analysis using independently published experimental measurements shows that the predicted scaling and magnitude agree with observations without fitting or normalization. These results identify geometric memory as a minimal and generic source of irreversible transport.
引用
@article{arxiv.2603.24455,
title = {Geometric Memory Generates Irreversible Transport in Time-Periodic Irrotational Flows},
author = {Mounir Kassmi},
journal= {arXiv preprint arXiv:2603.24455},
year = {2026}
}
备注
Submitted to Physical Review Letters. 9 pages, 2 figures, and supplemental material